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Finding the Fourth Proportional to 52,823.64, 79,239.78 and 21,659.16

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Solution

The fourth proportional to 52,823.64, 79,239.78 and 21,659.16 is: 32,490.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,823.64 : 79,239.78 = 21,659.16 : x
  2. Step 2: Convert to fraction form
    52,823.64/79,239.78 = 21,659.16/x
  3. Step 3: Cross multiply
    52,823.64x = 79,239.78 × 21,659.16
  4. Step 4: Simplify right side
    52,823.64x = 1,716,267,073.38
  5. Step 5: Solve for x
    x = 1,716,267,073.38/52,823.64
  6. Step 6: Final answer
    x = 32,490.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.